Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 189870, 12 pages
Research Article

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

Zead Mustafa, Hamed Obiedat, and Fadi Awawdeh

Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, Jordan

Received 1 April 2008; Accepted 10 July 2008

Academic Editor: Brailey Sims

Copyright © 2008 Zead Mustafa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space (X,dG), where (X,dG) is the usual metric space which defined from the G-metric space (X,G).